Primary U$.$S$.$ interstate highways are numbered $1-99.$ Odd numbers $($like the $5$ or $95)$ go north$/$south$,$ and evens $($ike the $10$ or $90)$ go

east$/$west Auxiliany highways are numbered $100-99,$ and service the pr mary highway indicated by the rightmost two digits. Thus, $1-405$

services $1-5,$ and $1-290$ services $1-90.$ Note: $200$ is not a vald auxillary highway because $00(5$ not a valid primary highway number.

Given a highway number, indicate whether it $5$ a primary or auxillary highway. If auxilary, indicate what primary highway it serves. Also

indicate if the $($primary$)$ highway runs north$/$south or east$/$west$.$

Ex: If the input is:

$90$

the output is:

I$-90$ is primary, going east$/$west$.$

Ex: If the input is:

$290$

the output is:

I$-290$ is auxiliary, serving I$-90,$ going east$/$west$.$

Ex: If the input is:

$0$

or any number not between $1$ and $999,$ the output is:

$0is$ not a valid interstate highwey number.

Ex: If the input is:

$200$

the output is:

$200is$ not a valid interstate highway number.

See Wikipedia for more info on highway numbering.

Laport Java.utll.Scanner;

public class Latbrogram $\{$

public static vold main$($String$()$ args$)(\{$

Scanner sonr $=$ new Scanner$($Systen$,$ in$)$;

Int highwayNumber;

$10$t primaryNunber;

highwayNumber $=$ scn$\%$ nextInt$()$;

$1*$ Type your sode here. $*/$

$)$